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225072918 = 23777351
BaseRepresentation
bin11010110101001…
…01011100010110
3120200111220000000
431122211130112
5430104313133
634200032130
75402042160
oct1532453426
9520456000
10225072918
11106058684
1263462646
1337825755
1421c6b930
1514b5d413
hexd6a5716

225072918 has 64 divisors (see below), whose sum is σ = 578749440. Its totient is φ = 64297800.

The previous prime is 225072907. The next prime is 225072919. The reversal of 225072918 is 819270522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225072919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26943 + ... + 34293.

It is an arithmetic number, because the mean of its divisors is an integer number (9042960).

Almost surely, 2225072918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225072918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289374720).

225072918 is an abundant number, since it is smaller than the sum of its proper divisors (353676522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225072918 is an frugal number, since it uses more digits than its factorization.

225072918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 225072918 is about 15002.4304031047. The cubic root of 225072918 is about 608.2858964616.

It can be divided in two parts, 22507 and 2918, that added together give a triangular number (25425 = T225).

The spelling of 225072918 in words is "two hundred twenty-five million, seventy-two thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 7351 10206 14702 15309 22053 30618 44106 51457 66159 102914 132318 154371 198477 308742 396954 463113 595431 926226 1190862 1389339 1786293 2778678 3572586 4168017 5358879 8336034 10717758 12504051 16076637 25008102 32153274 37512153 75024306 112536459 225072918